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Finding the Fourth Proportional to 24,596, 33,942.72 and 13,418.24

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Solution

The fourth proportional to 24,596, 33,942.72 and 13,418.24 is: 18,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,596 : 33,942.72 = 13,418.24 : x
  2. Step 2: Convert to fraction form
    24,596/33,942.72 = 13,418.24/x
  3. Step 3: Cross multiply
    24,596x = 33,942.72 × 13,418.24
  4. Step 4: Simplify right side
    24,596x = 455,451,563.21
  5. Step 5: Solve for x
    x = 455,451,563.21/24,596
  6. Step 6: Final answer
    x = 18,517.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.